This seminar will focus on the Jacquet-Rallis trace formula towards the Gan-Gross-Prasad conjecture for unitary groups. The primary references for the seminar are
[Zha14]: Fourier transform and the global Gan-Gross-Prasad conjecture for unitary groups.
[BP21]: A new proof of the Jacquet-Rallis fundamental lemma.
[BPLZZ21]: Isolation of cuspidal spectrum, with application to the Gan-Gross-Prasad conjecture.
[BPCZ22]: The global Gan-Gross-Prasad conjecture for unitary groups: the endoscopic case.
Time: Friday, 2:00 p.m. to 4:00 p.m.
Location: Vincent Hall 364.
Sept. 5th: Zhaolin Li: Orbits of strongly regular elements.
Sept. 12th: Zhaolin Li: Smooth matching and fundamental lemma, and the global comparison for n=2.
Sept 19th: Zhaolin Li: Smooth matching: reduction to Lie algebras.
Sept. 26th: Zhaolin Li: Smooth matching: reduction to local transfer around zero.
Oct. 3rd: Sagnik Mukherjee: Explicit étale Luna slices.
Oct. 10th: Zhaolin Li: Smooth transfer for Lie algebra.